Solucionar 5*(left(81-85.5right)^2+left(90.875-85.5right)^2+left(84.625-85.5right)^2)

$$5 \times ( { \left(81-85.5 \right) }^{ 2 } + { \left(90.875-85.5 \right) }^{ 2 } + { \left(84.625-85.5 \right) }^{ 2 } )$$

Calcular

$$249.53125$$

Pasos de la solución

Resta 85.5 de 81 para obtener -4.5.

$$5\left(\left(-4.5\right)^{2}+\left(90.875-85.5\right)^{2}+\left(84.625-85.5\right)^{2}\right)$$

Calcula -4.5 a la potencia de 2 y obtiene 20.25.

$$5\left(20.25+\left(90.875-85.5\right)^{2}+\left(84.625-85.5\right)^{2}\right)$$

Resta 85.5 de 90.875 para obtener 5.375.

$$5\left(20.25+5.375^{2}+\left(84.625-85.5\right)^{2}\right)$$

Calcula 5.375 a la potencia de 2 y obtiene 28.890625.

$$5\left(20.25+28.890625+\left(84.625-85.5\right)^{2}\right)$$

Suma 20.25 y 28.890625 para obtener 49.140625.

$$5\left(49.140625+\left(84.625-85.5\right)^{2}\right)$$

Resta 85.5 de 84.625 para obtener -0.875.

$$5\left(49.140625+\left(-0.875\right)^{2}\right)$$

Calcula -0.875 a la potencia de 2 y obtiene 0.765625.

$$5\left(49.140625+0.765625\right)$$

Suma 49.140625 y 0.765625 para obtener 49.90625.

$$5\times 49.90625$$

Multiplica 5 y 49.90625 para obtener 249.53125.

$$249.53125$$

Factorizar

$$\frac{5 \cdot 1597}{2 ^ {5}} = 249\frac{17}{32} = 249.53125$$